Question
The accompanying data are the number of wins and the earned run averages​ (mean number of earned runs allowed per nine innings​ pitched) for
eight
baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. If the​ x-value is not meaningful to predict the value of​ y, explain why not.
 ​(a) x=5 wins ​(b) x=10 wins ​(c) x=21 wins ​(d) x=15 wins

Wins, x Earned run average, y
20                  2.71
18                  3.31
17                  2.62
16                  3.82
14                  3.95
12                  4.43
11                  3.73
9                    5.03

Then construct a scatter plot of the data and draw the regression line.

​(a) Predict the ERA for
5
​wins, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
fill Y= if necessary

A.
y=nothing
​(Round to two decimal places as​ needed.)

B.
It is not meaningful to predict this value of y because
x=5
is not an​ x-value in the original data.

C.
It is not meaningful to predict this value of y because
x=5
is well outside the range of the original data.
​(b) Predict the ERA for 10 ​wins, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
fill Y= if necessary

A.
y=
​(Round to two decimal places as​ needed.)

B.
It is not meaningful to predict this value of y because
x=10
is not an​ x-value in the original data.

C.
It is not meaningful to predict this value of y because
x=10
is inside the range of the original data.
​(c) Predict the ERA for 21 ​wins, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
fill Y= if necessary

A.
y=
​(Round to two decimal places as​ needed.)

B.
It is not meaningful to predict this value of y because
x=21
is not an​ x-value in the original data.

C.
It is not meaningful to predict this value of y because
x=21
is well outside the range of the original data.
​(d) Predict the ERA for 15 wins, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
fill Y= if necessary

A.
y=
​(Round to two decimal places as​ needed.)

B.
It is not meaningful to predict this value of y because
x=15
is inside the range of the original data.

C.
It is not meaningful to predict this value of y because
x=15
is not an​ x-value in the original data.

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Tagged in
Math
Statistics